A market researcher is studying the spending habits of people across age groups. The amount of money spent by each individual is classified by spending category (Dining out, Shopping, or Electronics) - Factor A, and generation (Gen-X, Gen-Y, Gen-Z, or Baby Boomers) - Factor B. An incomplete ANOVA table is shown below. At the 5% significance level, the critical value for the hypothesis test about factor A is ________.
A) 2.49
B) 3.32
C) 4.18
D) 5.39

Question

A market researcher is studying the spending habits of people across age groups. The amount of money spent by each individual is classified by spending category (Dining out, Shopping, or Electronics) - Factor A, and generation (Gen-X, Gen-Y, Gen-Z, or Baby Boomers) - Factor B. An incomplete ANOVA table is shown below.  At the 5% significance level, the critical value for the hypothesis test about factor A is ________.
A) 2.49 
B) 3.32 
C) 4.18 
D) 5.39

Quizplus · Accepted Answer

To find the critical value for the hypothesis test about factor A, we need to look at the row labeled "Factor A" in the ANOVA table. The degrees of freedom for factor A are (3-1) = 2, and the degrees of freedom for error are (12-1-2) = 9. Using a significance level of 5%, we can find the critical value from an F-table or calculator, which is 3.32. Therefore, the answer is choice B.

A Market Researcher Is Studying the Spending Habits of People